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Finding the Fourth Proportional to 433,748,772,843.40, 650,623,159,265.10 and 433,748,772,843.40

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Solution

The fourth proportional to 433,748,772,843.40, 650,623,159,265.10 and 433,748,772,843.40 is: 650,623,159,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,748,772,843.40 : 650,623,159,265.10 = 433,748,772,843.40 : x
  2. Step 2: Convert to fraction form
    433,748,772,843.40/650,623,159,265.10 = 433,748,772,843.40/x
  3. Step 3: Cross multiply
    433,748,772,843.40x = 650,623,159,265.10 × 433,748,772,843.40
  4. Step 4: Simplify right side
    433,748,772,843.40x = 282,206,996,914,733,125,206,016
  5. Step 5: Solve for x
    x = 282,206,996,914,733,125,206,016/433,748,772,843.40
  6. Step 6: Final answer
    x = 650,623,159,265.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.